Solving Multi-Step Linear Equations A Flipped Lesson
Lesson Information Authors: Ellen Glunt, Ron Reynolds, and Samantha Mowery Subject Area: Algebra I/Math 7 & 8 Grade Level: 7th – 10th Time Needed: 1 block (90 minutes) or 2 periods (45 minute each)
Standards and Objectives PA Academic Standards: M7.D.2.1.1 M8.D.2.1.1 M8.D.2.1.2 A.1.1.2.1.1 Learning Objectives: Students will understand the process of solving an equation by learning
What is meant by balancing an equation
The meaning of undoing an operation
How a solution fits into the original equation
Students will solve multi-step equations, without the use of a calculator.
After finding a solution to a multi-step equation, students will use the solution to check their work.
Classroom Teacher Directed Activity – the students will work on the following 8 problems. Multi-Step Equations - Whole Group
They will work individually for 10 minutes then discuss their work and answers with a partner for 5 minutes. Once the students have completed their pair discussions, there will be a whole class discussion (facilitated by the teacher). During this time the students will be able to get clarification on any problems from the classwork, discuss the problems from the videos and ask any questions about how to solve multi-step equations.
Student Directed Activities – The students will be divided into small homogenous groups (3 or 4) based on their knowledge of solving multi-step equations. The students will choose between the following activities to complete. The teacher will circulate the room to assistant students who are struggling and answer questions.
Basic Review Activities– these problems are a review of past topics therefore students should not spend more than 10 minutes on these types of problems before moving on to the intermediate activities http://www.quia.com/ba/36544.html (battleship game that is a review of 1-step equations and easy multi-step equations) 1-Step Equations Review
(worksheet of 1-Step Equations)
Intermediate Activities– most students will spend the class working on these problems.
1. http://www.shodor.org/interactivate/activities/AlgebraQuiz/
(alternate between variables on both sides and two step problems – start with difficulty level 1 and move up if the problems seem too easy)
2. http://www.quia.com/rr/42586.html
(quick game to check understanding of basic multi-step equations)
3. Multi-Step Equations Puzzle
(students will cut out the squares and match each equation with the correct solution forming a new 4x4 square students will need scissors, paper and glue)
4. Multi-Step Equations Practice
(Students will work to solve the multi-step equations) Advanced Activity– this activity is for the advanced students who have already mastered solving basic multi-step equations.
1. //Difficult Multi-Step Equations//
(5 problems to challenge the advanced students) Based on the class makeup, the advanced students may be asked to circulate and assistant students who are struggling and need extra help Assessment The teacher will be observing each student’s performance and understanding while facilitating the student directed activities.
Ticket out the Door - Multi-Step Equation TOTD
(the students will complete and turn in the 4 problems in the last 5-7 minutes of class)
Homework – Student will pick 1 of 2 choices Intermediate Students – students will complete an “easy” and “hard” 10 question quiz from the following website. http://library.wolfram.com/webMathematica/Education/MakeQuiz.jsp
Students will be required to bring in their work to be graded.
Solving Multi-Step Linear Equations
A Flipped Lesson
Lesson Information
Authors: Ellen Glunt, Ron Reynolds, and Samantha Mowery
Subject Area: Algebra I/Math 7 & 8
Grade Level: 7th – 10th
Time Needed: 1 block (90 minutes) or 2 periods (45 minute each)
Standards and Objectives
PA Academic Standards: M7.D.2.1.1
M8.D.2.1.1
M8.D.2.1.2
A.1.1.2.1.1
Learning Objectives:
Students will understand the process of solving an equation by learning
Students will solve multi-step equations, without the use of a calculator.
After finding a solution to a multi-step equation, students will use the solution to check their work.
Lesson Description
At Home
Student Learning
Videos – students will watch the 3 Videos on Solving Multi-Step Equations – they will take notes on the Video Guide provided, complete the KWL chart and answer the questions that follow.
//Student Video Guide and KWL Chart//
http://www.khanacademy.org/math/algebra/solving-linear-equations/v/equations-2
(basic 2 step equations – 9 minutes)
http://www.khanacademy.org/math/algebra/solving-linear-equations/v/solving-equations-1
(more complicated 2 step equation - 3 minutes)
http://www.khanacademy.org/math/algebra/solving-linear-equations/v/two-step-equations
(difficult 2 step equations - 1st 11 minutes)
Student Activities
Game - students will play the 1 player game and record # of correct answers and # of baskets made on the student worksheet
http://www.math-play.com/Two-Step-Equations-Game.html
Quiz - Students will complete problems for 10 minutes then record the number of problems attempted and score on the student worksheet.
http://www.ixl.com/math/algebra-1/solve-two-step-linear-equations
Classroom
Teacher Directed Activity – the students will work on the following 8 problems.
Multi-Step Equations - Whole Group
They will work individually for 10 minutes then discuss their work and answers with a partner for 5 minutes. Once the students have completed their pair discussions, there will be a whole class discussion (facilitated by the teacher). During this time the students will be able to get clarification on any problems from the classwork, discuss the problems from the videos and ask any questions about how to solve multi-step equations.
Student Directed Activities – The students will be divided into small homogenous groups (3 or 4) based on their knowledge of solving multi-step equations. The students will choose between the following activities to complete. The teacher will circulate the room to assistant students who are struggling and answer questions.
Basic Review Activities – these problems are a review of past topics therefore students should not spend more than 10 minutes on these types of problems before moving on to the intermediate activities
http://www.quia.com/ba/36544.html
(battleship game that is a review of 1-step equations and easy multi-step equations)
1-Step Equations Review
(worksheet of 1-Step Equations)
Intermediate Activities – most students will spend the class working on these problems.
1. http://www.shodor.org/interactivate/activities/AlgebraQuiz/
(alternate between variables on both sides and two step problems – start with difficulty level 1 and move up if the problems seem too easy)
2. http://www.quia.com/rr/42586.html
(quick game to check understanding of basic multi-step equations)
3. Multi-Step Equations Puzzle
(students will cut out the squares and match each equation with the correct solution forming a new 4x4 square students will need scissors, paper and glue)
4. Multi-Step Equations Practice
(Students will work to solve the multi-step equations)
Advanced Activity – this activity is for the advanced students who have already mastered solving basic multi-step equations.
1. //Difficult Multi-Step Equations//
(5 problems to challenge the advanced students)
Based on the class makeup, the advanced students may be asked to circulate and assistant students who are struggling and need extra help
Assessment
The teacher will be observing each student’s performance and understanding while facilitating the student directed activities.
Ticket out the Door - Multi-Step Equation TOTD
(the students will complete and turn in the 4 problems in the last 5-7 minutes of class)
Homework – Student will pick 1 of 2 choices
Intermediate Students – students will complete an “easy” and “hard” 10 question quiz from the following website.
http://library.wolfram.com/webMathematica/Education/MakeQuiz.jsp
Students will be required to bring in their work to be graded.
Advanced Students – students will complete the following challenge problems
Multi-Step Equations Challenge